Reason is called common sense to distinguish it from ratiocination with uses logic and rational reasoning.
In formal logic the drawing of inferences is frequently called ratiocination.
The term syllogism has been extended to cover certain forms of ratiocination which are not based on categorical propositions.
He went too far and fast for even such a Federalist disbeliever in democracy as Gouverneur Morris; who, to Hamilton's assertion that democracy must be cast out to save the country, replied that " such necessity cannot be shown by a political ratiocination.
For the other half he falls back on ratiocination.